36764296417728 has 1568 divisors, whose sum is σ = 129671239564800. Its totient is φ = 10219978137600.

The previous prime is 36764296417643. The next prime is 36764296417733. The reversal of 36764296417728 is 82771469246763.

36764296417728 is a `hidden beast` number, since 3 + 6 + 7 + 6 + 429 + 6 + 4 + 177 + 28 = 666.

It is a super-2 number, since 2×36764296417728² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 72228479938 + ... + 72228480446.

Almost surely, 2^{36764296417728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36764296417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64835619782400).

36764296417728 is an abundant number, since it is smaller than the sum of its proper divisors (92906943147072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36764296417728 is a wasteful number, since it uses less digits than its factorization.

36764296417728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 788 counting only the distinct ones).

The product of its digits is 1024192512, while the sum is 72.

The spelling of 36764296417728 in words is "thirty-six trillion, seven hundred sixty-four billion, two hundred ninety-six million, four hundred seventeen thousand, seven hundred twenty-eight".